229828726512 has 320 divisors, whose sum is σ = 825317176320. Its totient is φ = 59489510400.

The previous prime is 229828726499. The next prime is 229828726531. The reversal of 229828726512 is 215627828922.

229828726512 is a `hidden beast` number, since 2 + 2 + 98 + 287 + 265 + 12 = 666.

It is a super-2 number, since 2×229828726512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9734562 + ... + 9758142.

It is an arithmetic number, because the mean of its divisors is an integer number (2579116176).

Almost surely, 2^229828726512 is an apocalyptic number.

229828726512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229828726512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412658588160).

229828726512 is an abundant number, since it is smaller than the sum of its proper divisors (595488449808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229828726512 is a wasteful number, since it uses less digits than its factorization.

229828726512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23909 (or 23897 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 229828726512 in words is "two hundred twenty-nine billion, eight hundred twenty-eight million, seven hundred twenty-six thousand, five hundred twelve".